Lol at people thinking the man with the full chin beard in that endless stair prison is Alfred. There's no chance on Earth it is.

Looks like that's the prison Bane has Bruce locked up in after they first tangle. No Lazarus Pit was confirmed, just that green screen in India, which could have been a CGI crash site, could have been the well we see Baby Bane/Bruce climb from, the LoS rappel down, nothing's been confirmed as far as R'as, but then again nothing's been denied.

I think we'll get a flashback of young R'as taking Bane under his wing, or simply building the backstory of young Talia. But that's just my opinion.

Well lets look at the definition of "Lazarus Pit". Lazarus of Bethany is the narrative that tells of the relationship (in life and in death) between an unnamed rich man and a poor beggar named Lazarus. Now, everyone knows a pit is a large hole in the ground. So it appears this underground prison is filled with the the quarantined rich people of Gotham. So technically the Lazarus Pit could be in the movie, just saying.

I think, judging from the trailers, that the "lazarus pit" is where Bruce is at (while his back is healing and he's scruffy) with Alfred, and when he asks Alfred "what's that mean?" Alfred says "rise."

I'm thinking that place he's at is labeled the lazarus pit, Bruce asks what "Lazarus" means and Alfred responds "rise." That's where he goes to rehabilitate himself so he can come back stronger.